In section , we establish the general formalism for the EOS of ANM including the characteristics \(K_0,J_0\)  and \(L\) , etc., via the Hugenholtz-Van Hove (HVH) theorem [1]}.
The HVH theorem is very useful for establishing the connection between the EOS of the system (which is a thermodynamic quantity) and the single particle energy (including the potential as well as the kinetic parts) [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
The results obtained from the HVH theorem are essentially model independent. Interesting features of the EOS of ANM may naturally emerge as we shift the focus from \(d=3\)  to certain other dimensions.
